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224404134217 is a prime number
BaseRepresentation
bin1101000011111110000…
…1110101100101001001
3210110020002222011010021
43100333201311211021
512134034424243332
6251031223220441
722132641445234
oct3207741654511
9713202864107
10224404134217
118719531346a
12375a85a7721
1318213276793
14ac0b27a41b
155c85b93c97
hex343f875949

224404134217 has 2 divisors, whose sum is σ = 224404134218. Its totient is φ = 224404134216.

The previous prime is 224404134203. The next prime is 224404134259. The reversal of 224404134217 is 712431404422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182975195536 + 41428938681 = 427756^2 + 203541^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224404134217 is a prime.

It is not a weakly prime, because it can be changed into another prime (224404134287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112202067108 + 112202067109.

It is an arithmetic number, because the mean of its divisors is an integer number (112202067109).

Almost surely, 2224404134217 is an apocalyptic number.

It is an amenable number.

224404134217 is a deficient number, since it is larger than the sum of its proper divisors (1).

224404134217 is an equidigital number, since it uses as much as digits as its factorization.

224404134217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43008, while the sum is 34.

Adding to 224404134217 its reverse (712431404422), we get a palindrome (936835538639).

The spelling of 224404134217 in words is "two hundred twenty-four billion, four hundred four million, one hundred thirty-four thousand, two hundred seventeen".